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Finding the Fourth Proportional to 386,114.31, 532,815.98 and 224,995.59

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Solution

The fourth proportional to 386,114.31, 532,815.98 and 224,995.59 is: 310,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,114.31 : 532,815.98 = 224,995.59 : x
  2. Step 2: Convert to fraction form
    386,114.31/532,815.98 = 224,995.59/x
  3. Step 3: Cross multiply
    386,114.31x = 532,815.98 × 224,995.59
  4. Step 4: Simplify right side
    386,114.31x = 119,881,244,656.55
  5. Step 5: Solve for x
    x = 119,881,244,656.55/386,114.31
  6. Step 6: Final answer
    x = 310,481.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.